This paper explores how to reduce supply-demand conflicts in supply chains by utilizing complementary products' unique relationships and shared objectives. Also, it considers the service level concerns of consumers. Primarily employing game theory, this paper analyzes the pricing strategies of complementary products within a three-tier dual-channel supply chain, the relationship between pricing and service levels, and the performance optimization across channels. Numerical results demonstrate that elevated values of alpha 1 indicate heightened consumer sensitivity to manufacturer price fluctuations. To sustain sales volume, manufacturers are compelled to reduce prices, consequently leading to a decline in equilibrium prices within the market. A rise in beta 1 induces an across-the-board increase in all price tiers, albeit with differential magnitudes. The intensification of channel competition alpha 2 exerts downward pressure on all pricing components. The retailer's price demonstrates maximal responsiveness to beta 2 fluctuations, as retailers directly absorb cost variances.